On a topographical map with a scale of and a contour interval of , a river flows down a valley. Contour line , whose V-shape apex points upstream toward higher elevation, crosses the river channel at an elevation of . Further downstream, the river crosses contour line , which is separated from by contour intervals. If the measured map distance along the stream between these two crossing points is , what is the average gradient of the river channel between and ?
- 1 in 25Answer
- B1 in 2,500
- C1 in 20
- D1 in 2.5
Answer
The average gradient of the river channel between points V1 and V2 is 1 in 25.
The vertical interval (VI) represents the height difference between the two points along the stream, which is equal to . The horizontal equivalent (HE) is calculated by multiplying the map distance () by the scale factor (), yielding or . Dividing VI by HE yields , expressed as a ratio of 1 in 25.
Step-by-Step Solution
Key Concept
Topographic Gradient and Relief Interpretation